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Stability analysis of T–S fuzzy models for nonlinear multiple time-delay interconnected systems

✍ Scribed by C.W. Chen; W.L. Chiang; F.H. Hsiao

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
129 KB
Volume
66
Category
Article
ISSN
0378-4754

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✦ Synopsis

In this paper, the Takagi-Sugeno (T-S) fuzzy model representation is extended to the stability analysis for nonlinear interconnected systems with multiple time-delays using linear matrix inequality (LMI) theory. In terms of Lyapunov's direct method for multiple time-delay fuzzy interconnected systems, a novel LMI-based stability criterion which can be solved numerically is proposed. Then, the common P matrix of the criterion is obtained by LMI optimization algorithms to guarantee the asymptotic stability of nonlinear interconnect systems with multiple time-delay. Finally, the proposed stability conditions are demonstrated with simulations throughout this paper.

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